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Galois representations and Galois groups over Q
dc.contributor.editor | Bertin, Marie José | es |
dc.contributor.editor | Bucur, Alina | es |
dc.contributor.editor | Feigon, Brooke | es |
dc.contributor.editor | Schneps, Leila | es |
dc.creator | Arias de Reyna Domínguez, Sara | es |
dc.creator | Armana, Cécile | es |
dc.creator | Karemaker, Valentijn | es |
dc.creator | Rebolledo, Marusia | es |
dc.creator | Thomas, Lara | es |
dc.creator | Vila Oliva, Núria | es |
dc.date.accessioned | 2016-11-11T07:37:00Z | |
dc.date.available | 2016-11-11T07:37:00Z | |
dc.date.issued | 2015 | |
dc.identifier.isbn | 9783319179865 | es |
dc.identifier.isbn | 9783319179872 | es |
dc.identifier.issn | 2364-5733 | es |
dc.identifier.uri | http://hdl.handle.net/11441/48457 | |
dc.description.abstract | In this paper we generalize results of P. Le Duff to genus n hyperelliptic curves. More precisely, let C/Q be a hyperelliptic genus n curve, let J(C) be the associated Jacobian variety and let ¯ρℓ : GQ → GSp(J(C)[ℓ]) be the Galois representation attached to the ℓ-torsion of J(C). Assume that there exists a prime p such that J(C) has semistable reduction with toric dimension 1 at p. We provide an algorithm to compute a list of primes ℓ (if they exist) such that ¯ρℓ is surjective. In particular we realize GSp6 (Fℓ) as a Galois group over Q for all primes ℓ ∈ [11, 500000]. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Women in numbers Europe: research directions in number theory | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Galois representations and Galois groups over Q | es |
dc.type | info:eu-repo/semantics/bookPart | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | MTM2012-33830 | es |
dc.relation.projectID | BQR 2013 | es |
dc.relation.projectID | ANR-12-BS01-0002 | es |
dc.relation.publisherversion | http://link.springer.com/chapter/10.1007/978-3-319-17987-2_8 | es |
dc.identifier.doi | 10.1007/978-3-319-17987-2_8 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometría Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 13 p. | es |
dc.publication.initialPage | 191 | es |
dc.publication.endPage | 205 | es |
dc.relation.publicationplace | Cham | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/48457 |
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